User:MisterShafXen/21ed16
| ← 20ed16 | 21ed16 | 22ed16 → |
21 equal divisions of the 16th harmonic (abbreviated 21ed16) is a nonoctave tuning system that divides the interval of 16/1 into 21 equal parts of about 229 ¢ each. Each step represents a frequency ratio of 161/21, or the 21st root of 16.
Intervals
| Steps | Cents | Approximate ratios |
|---|---|---|
| 0 | 0 | 1/1 |
| 1 | 228.6 | 17/15, 25/22 |
| 2 | 457.1 | 13/10, 17/13, 22/17 |
| 3 | 685.7 | |
| 4 | 914.3 | 17/10, 22/13 |
| 5 | 1142.9 | 25/13 |
| 6 | 1371.4 | 11/5, 20/9 |
| 7 | 1600 | 5/2 |
| 8 | 1828.6 | |
| 9 | 2057.1 | 23/7 |
| 10 | 2285.7 | 15/4 |
| 11 | 2514.3 | 17/4 |
| 12 | 2742.9 | |
| 13 | 2971.4 | |
| 14 | 3200 | 19/3 |
| 15 | 3428.6 | |
| 16 | 3657.1 | 25/3 |
| 17 | 3885.7 | 19/2 |
| 18 | 4114.3 | |
| 19 | 4342.9 | |
| 20 | 4571.4 | |
| 21 | 4800 |